Nineteen of the Russian's 21 victories have been won on hard surfaces
A resurgent the Russian player claimed his maiden title for 882 days with a win over opponent Moutet in the competition championship match.
The athlete, a ex- world number one, has had a challenging period, winning just one match at the Grand Slams and suffering a difficult moment at the New York tournament.
His inconsistency on the professional circuit - and difficulties with his service game in especial - caused him falling of the top ten and ultimately parting ways with former mentor Gilles Cervara.
Presently collaborating with his coach and his other coach, he has consistently advanced in the recent weeks - climaxing in a tightly fought three-set triumph over Frenchman Moutet.
This marks Medvedev's initial title after the Italian tournament and initial on a hardcourt since spring of 2023.
Victory also signifies Medvedev has secured 21 victories at 21 distinct events.
"For the first time I'm at a tournament with my both daughters at once, so to win a championship is particularly special," said ranked player the champion.
"This victory is in tribute of my younger daughter her name, because the initial championship I got when my older daughter Alisa was born was for her."
The athlete, the 2021 US Open champion, had failed in his past six championship matches, including in Halle in the past months.
Medvedev's counter-punching approach and frequent emotional displays on the playing surface had caused observers to question if his capacity to play at the elite level was concluded.
However the 29-year-old has altered his approach in the past month, making an effort to advance forward and compete positively, supported by an improved serve.
He came back from a deficit in the initial set against the difficult Frenchman, taking 4 of the concluding five games to gain the advantage.
The competitors exchanged service breaks in the middle set before the Frenchman, striving for his first professional championship, seized the initiative to create a final set.
Moutet rescued four early-game chances in a close deciding set before the Russian secured a break to 15 to close out the victory.
Suitably, Medvedev clinched victory with a shot at the net, with Moutet unable to control a return after two hours and 38 minutes.